Partially integrable highest weight modules

Transformation Groups

Volumn 3, Issue 3, 1998, Pages 241-253

  Dimitrov, I ^a   Penkov, I ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032379736     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01236874     Document Type: Article

References (9)

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2. Yu. Bahturin and G. Benkart, Highest weight modules for locally finite Lie algebras, Studies in Advanced Mathematics, 4, AMS and International Press, 1997, 1-31.
3. I. Dimitrov and I. Penkov, Partially and fully integrable modules over Lie superalgebras, Studies in Advanced Mathematics, 4, AMS and International Press, 1997, 49-67.
4. I. Dimitrov, O. Mathieu and I. Penkov, On the structure of weight modules, ESI Preprint #492, 1997, 15pp.
5. S. Fernando, Lie algebra modules with finite dimensional weight spaces I, TAMS 322 (1990), 757-781.
6. V. Kac, Lie superalgebras, Adv. Math. 26 (1977), 8-96.
7. V. Kac, Infinite Dimensional Lie Algebras, third edition, Cambridge University Press, Cambridge, 1990. Russian translation: B. F. Kan;, BecKOHtHHOMepHbie ajizeopbi JIu, MocKBa, Mnp, 1993.
8. V. Kac and M. Wakimoto, Integrable highest weight modules over affine Lie superalgebras and number theory, Lie Theory and Geometry, Birkhäuser, Progress in Mathematics 123 (1994), 415-456.
9. I. Penkov and V. Serganova, Generic irreducible representations of finite-dimensional Lie superalgebras, Internatl. J. of Math. 5(1994), 389-419.